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Nonlinear vibration of circular sandwich plate under the uniformed load

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Abstract

The differential equations of the axisymmetric large amplitude free vibration for circular sandwich plates under static load are derived, and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are formulated following an assumed time mode approach suggested. The analytic solutions are presented and a relation for amplitude frequency-load of the plates with edge clamped is derived by modified iteration method. The effects of static load on vibrations of plates are investigated.

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Authors and Affiliations

  1. Department of Civil Engineering and Mechanics, Yanshan University, 066004, Qinhuangdao, P R China

    Du Guojun Associate Professor & Li Huijian

Authors
  1. Du Guojun Associate Professor
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  2. Li Huijian
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Communicated by Liu Renhuai

Biography: Du Guojun (1961-)

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Guojun, D., Huijian, L. Nonlinear vibration of circular sandwich plate under the uniformed load. Appl Math Mech 21, 217–226 (2000). https://doi.org/10.1007/BF02458523

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  • DOI: https://doi.org/10.1007/BF02458523

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